A New Transformation Method for Solving High-Order Boundary Value Problems

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Journal of New Theory
Issue:40
A New Transformation Method for Solving High-Order Boundary Value Problems

A New Transformation Method for Solving High-Order Boundary Value Problems

Authors : Merve YÜCEL, Fahreddin MUHTAROV, Oktay MUKHTAROV

Pages : 90-100

Doi:10.53570/jnt.1171760

View : 108 | Download : 8

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method insert ignore into journalissuearticles values(PDTM);, for solving high-order boundary value problems insert ignore into journalissuearticles values(HOBVPs);. Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series. We applied the proposed new method to fourth-order boundary value problems to substantiate it. The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.
Keywords : Differential transform method, Boundary Value Problem, Approximate solution

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